First slide

Properties of ITF

Question

If $θ = T a n^{- 1} a, ϕ = T a n^{- 1} b$ and $a b = - 1$ , then $θ - ϕ$ is equal to:

Easy

A

0
B

$\frac{π}{4}$
C

$\frac{π}{2}$
D

$π$

Solution

$T a n (θ - Φ) = \frac{T a n θ - T a n Φ}{1 + T a n θ T a n Φ} = \frac{a - b}{1 - 1} = \infty$
$θ - Φ = \frac{π}{2}$

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